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Finding the Fourth Proportional to 656.66, 906.09 and 423.38

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Solution

The fourth proportional to 656.66, 906.09 and 423.38 is: 584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.66 : 906.09 = 423.38 : x
  2. Step 2: Convert to fraction form
    656.66/906.09 = 423.38/x
  3. Step 3: Cross multiply
    656.66x = 906.09 × 423.38
  4. Step 4: Simplify right side
    656.66x = 383,615.85
  5. Step 5: Solve for x
    x = 383,615.85/656.66
  6. Step 6: Final answer
    x = 584.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.